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Atlas › Integer Profiles › Node 9,720,116

9,720,116

22 × 7 × 41 × 8467
Abundant Even Composite

9,720,116 factors as 2^2 × 7 × 41 × 8467. Its 24 positive divisors give a proper-divisor sum of 10,196,620, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 41 × 8467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,916,736
Proper Divisor Sum 10,196,620
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9720103 ← → #9720119

Radix Representation

Decimal 9720116
Binary 100101000101000100110100 (24 bits)
Octal 0o45050464
Hexadecimal 0x945134

Divisor Catalog (24)

1 2 4 7 14 28 41 82 164 287 574 1,148 8,467 16,934 33,868 59,269 118,538 237,076 347,147 694,294 1,388,588 2,430,029 4,860,058 9,720,116

Collatz Trajectory (194 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,720,116 4,860,058 2,430,029 7,290,088 3,645,044 1,822,522 911,261 2,733,784 1,366,892 683,446 341,723 1,025,170 512,585 1,537,756 768,878 384,439 1,153,318 576,659 1,729,978 864,989 2,594,968 1,297,484 648,742 324,371 973,114 486,557 1,459,672 729,836 364,918 182,459 547,378 273,689 821,068 410,534 205,267 615,802 307,901 923,704 461,852 230,926 115,463 346,390 173,195 519,586 259,793 779,380 389,690 194,845 584,536 292,268 146,134 73,067 219,202 109,601 328,804 164,402 82,201 246,604 123,302 61,651

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